Using the mileage chart below, find the distance between Sturgis and Hot
Springs.

Answer: a reflection across the y-axis and scaling it by a factor of 1/2

Step-by-step explanation: First, you need to reflect the shape over the y-axis to move it into the neighboring quadrant. After that, you scale the polygon down by a factor of 1/2, because the lengths of the line segments of A'B'C'D' are half the length of the original polygon, ABCD.

If B is between A and C and AB= x+4,BC= 2x-2 and AC= 4x-1, then the length of the AB is 3 units

The point B is between A and C

AB = x+4

BC = 2x-2

AC = 4x-1

We know,

AC = AB + BC

Substitute the value in the equation and find the value of x

4x-1  = x+4  + 2x-2

4x-1 = 3x-2

4x-3x = -2+1

x = -1

Then,

AB= x+4

Substitute the value of x in the equation

AB = -1+4

AB = 3 units

Hence, If B is between A and C and AB= x+4,BC= 2x-2 and AC= 4x-1, then the length of the AB is 3  units

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Answer:

False

Step-by-step explanation:

it would be positive, not negative.

Answer: The 48 0z of jelly for 8.64

Step-by-step explanation: because 16 oz of jelly is 3.30 and if you double it, it is $9.9

Answer:

48 Oz of jelly for $8.64

Step-by-step explanation:

16oz of jelly is $3.30 x 3 =$9.90

The  equation which can be used  to find how many kids k are at the reunion is :k + 25 = 55

There are 30 kids at the reunion

What is algebraic expression?

Algebraic expressions are based on expressing numbers using letters  without indicating their actual values, such that we can determine the unknown variables by solving the expression or equation.

The total number of watermelons in this case is 55, if 25 slices are handed to the adults in the reunion gathering, the remaining one is the difference between 55 and 25 already served, which is known as k in this case.

total number of watermelons=55

number of adults=25

number of kids given watermelon=k

i.e k+25=55

k=55-25

k=30

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Answer: 4 miles per hour

Explanation: Put in the calculator 1/7 divided by 1/28 and then you get 4. Also can I get the brainliest pls?

Answer:

the answer is 136 miles

A division is a process of splitting a specific amount into equal parts. The number of pounds Rieko place in each bag is 3.33 pounds.

A division is a process of splitting a specific amount into equal parts.

We have,

Rieka has 10 pounds of nails and wants to divide it equally among 3 bags.

We need to divide the 10 pounds by 3.

The number of pounds in each bag:

= 10 pounds / 3

= 3.33 pounds

Thus the number of pounds in each bag is 3.33 pounds.

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Answer: 92 [tex]\frac{8}{9}[/tex]

Step-by-step explanation:

836/9=

(800+36)/9=

800/9 + 36/9=

800/9 + 4 =

(792+8)/9 + 4=

792/9 + 8/9 + 4=

88 + 8/9 + 4=

88+4+8/9=92 [tex]\frac{8}{9}[/tex]

Answer:

Seth is correct.

Step-by-step explanation:

Complementary means that they add to 90 degrees.  Supplemental means that they add to 180.  147 + 33 equals 180 so they are supplemental.

Taking into account the scientific notation, the result of the sum is 5.64×10⁻⁹.

Scientific notation is a quick way to represent a number using powers of base ten.

The numbers are written as a product:

a×10ⁿ

where:

To add two numbers in scientific notation, when the numbers to be added do not have the same base 10 exponent, the base 10 power with the highest exponent must be found. In this case, the highest exponent is -9.

Then all the values ​​are expressed as a function of the base 10 exponent with the highest exponent. In this case: 7.4×10⁻¹⁰= 0.74×10⁻⁹

Taking the quantities to the same exponent, all you have to do is add what was previously called the number "a". In this case:

4.9×10⁻⁹ + 0.74×10⁻⁹= (4.9 + 0.74)×10⁻⁹= 5.64×10⁻⁹

Finally, the result of the sum is 5.64×10⁻⁹.

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the set of all x y = 0 in R is not an open set.

x y = 0 in R is possible if

So, the contains (0,0) , (0, any real number) ,...…..,

(any real number, 0) ,...…..

So, the set is not an open set.

Hence proved.

Therefore, the set of all x y = 0 in R is not an open set.

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the value of x in the question is 22

The equation is given as

4/3x - 1/3 = x + 7

Multiply through by 3

4x - 1 = 3x + 21

Collect the like terms

4x - 3x = 1 + 21

Evaluate

x = 22

Hence. the value of x in the question is 22

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160 cm² is the area of the rectangle.

The formula for the area of a rectangle:

Put values in the formula:

Therefore, the area of a rectangle is 160 cm².

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The initial amount that Taylor receive initially is $1500.

Based on the information given, the following can be illustrated:

Interest = 1500

Time = 4 years

Rate = 2.5%

Principal = Unknown

Interest = PRT/100

1500 = (P × 4 × 2.5)/100

150000 = 10P

Divide

P = 150000/100

P = 1500

The initial amount is $1500.

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3.5355339 cm are the missing lengths for the right triangle.

What is right triangle ?

In a 45-45-90 right triangle the hypotenuse is always equal to the measure of one of the legs times √2 call "n" the measure of one of the legs

n√2=5

n=5/√2

multiply both terms by √2

n=5√2/2, or...

n=2.5(1.4142136)

n=3.5355339 cm (round as needed)

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The complete question is -

The length of the hypotenuse of a 45-45-90 triangle is 5 cm what is the length of each leg.

Answer: 25 students

Step-by-step explanation:

Answer:

25 students

Step-by-step explanation:

83 lollipops - the 8 remaining lollipops = 75 lollipops

75 lollipops ÷ 3 ( the amount he gave to each student) = 25

3 lollipops per person

3 * 25 people = 75 + 8 (remaining)

Answer:

Step-by-step explanation: i think 9 the 9 is in one digits

Answer:

Put it on calculator

Step-by-step explanation:

Or multiple 7x10. And 10x10 to make the percentage from 100 it will be 70

If you don't understand don't be shy to ask you should learn from your mistakes

Answer:

C. 70%

Convert 7/10 into a decimal, 0.7, and then convert into a percentage, 70%. :)

The cumulative frequency for a given range is the sum of all the relative frequencies that belong to that range.

The CFs for the given grade ranges are

• ≤ 49 :

9/67

• ≤ 59 :

9/67 + 10/67 = 19/67

• ≤ 69 :

9/67 + 10/67 + 10/67 = 29/67

• ≤ 79 :

9/67 + 10/67 + 10/67 + 14/67 = 43/67

• ≤ 89 :

9/67 + 10/67 + 14/67 + 14/67 + 15/67 = 58/67

• ≤ 100 :

9/67 + 10/67 + 10/67 + 14/67 + 15/67 + 9/67 = 67/67 = 1

Step-by-step explanation:

7.8 ×1000=7800.

1.2×10000=12000.

7800÷12000=0.65.

Answer:

x(y + 5) = x(y) + x(5)

Step-by-step explanation:

Multiply the x to the variable and number in the parenthesis.

Can also be written xy + x5.

Answer:

is correct

x^3 -7x^2+2x +40

multiply the constants of the factors (each factor has opposite sign of the zero)

(x+2)(x-4)(x-5)   2(-4)(-5) = 40,  that eliminates all but c) and d)

(x+2)(x-4)(x-5) = (x^2-2x-8)(x-5)   by using FOIL on the 1st two factors

then (-8)(-5) = +40, eliminating a) and b), leaving only c) and d)

-5 times -2x = 10x,  x times -8 = -8x.   10x-8x = 2x which c) has but d) doesn't.

Step-by-step explanation:

Answer: 5/24

Step-by-step explanation:

(-2/3)+(7/8)=

(-2/3)+(7/8)*24/24=        ==> 24 is the LCM of 3 and 8

[tex]\frac{(-2*24)/3+(7*24)/8}{24}[/tex]=

[tex]\frac{-2*24/3+7*24/8}{24}[/tex]=

[tex]\frac{-2*8+7*3}{24}[/tex]=

[tex]\frac{-16+21}{24}[/tex]=5/24

The computation shows that the hours that they both have to work to have the same amount of money saved is 16 hours.

Based on the information given, let the number of hours be represented by h

Therefore, the first function for Michael will be:

96 + 12h

The second function for Greg will be:

= 128 + 10h

Therefore, we'll equate both equations. This will be:

96 + 12h = 128 + 10h

12h - 10h = 128 - 96.

2h = 32.

h = 32/2

h = 16 hours.

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A closed rectangular box with volume 12 cubic feet is such that the length of its base is twice the width.The surface area of the box as a function of the width is (4b³ +36)/b.

volume 12 cubic feet

volume =(l)(b)(h)=12

l=2b

(2b)(b)(h)=12

h=6/b²

Surface area =  2 (lb + bh + lh)

 = 2((2b)(b) + b(6/b²) + 2b(6/b²))

=4b² + 12/b + 24/b

 = (4b³ +36)/b

A three-dimensional object's surface area is the sum of all of its faces. Real-world applications of the notion of surface areas include wrapping, painting, and finally constructing things to get the greatest potential design.

An object's surface area is the total area that all of its surfaces occupy. The formulae we will learn in this post make it simple to determine the various surface areas that various 3D forms in geometry have. There are two groups for the surface area:

The surface area that is laterally oriented or curved

Surface area overall

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Answer:

To find x-intercept ,let y=0

0=x²-4x-21

(x+3)(x-7)=0

x=-3 or x=7

(-3;0) or (7;0)

To find vertex

x=

[tex] \frac{ - b}{2a} = x[/tex]

x=4/2=2

y=(2)²-4(2)-21=-25

(2;-25)

choose A and E